Question

Ignacio wants to prove that ΔABC≅ΔDCB . He says that he knows AC¯¯¯¯¯¯¯¯≅DB¯¯¯¯¯¯¯¯ because diagonals in rectangles are congruent. What rule can he use to prove that BC¯¯¯¯¯¯¯¯≅BC¯¯¯¯¯¯¯¯ ? (1 point) Responses the HL Theorem the HL Theorem the Distributive Property the Distributive Property the Reflexive Property the Reflexive Property the Pythagorean Theorem

Answer 1

To show that $\overline{BC}\cong \overline{BC}$, Ignacio can use the Reflexive Property. The Reflexive Property states that any geometric object is congruent to itself, so $\overline{BC}=\overline{BC}$.